Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

if y varies inversely with x and y= -18 when x = 6 , find y when x=5

Sagot :

wegnerkolmp2741o

Answer:

y = -108/5

Step-by-step explanation:

An inverse variation is xy = k where k is a constant

xy =k

6*-18 = k

-108 = k

xy = -108

Let x = 5

5y = -108

Divide by 5

y = -108/5

Problem:

  • if y varies inversely with x and y.= -18 when x = 6, find y when x = 5?

Answer:

  • [tex] \huge \: \boxed{y = - 21.6}[/tex]

Formula:

  • [tex] \boxed{y = \frac{k}{x} }[/tex]

To find k use the given condition:

Given that:

  • [tex]y = -18 [/tex]
  • [tex]x = 6[/tex]

Lets try!

  • [tex]\:y = \frac{k}{x} \: \: ➡ \: \: \boxed{ k \ = yx}[/tex]
  • [tex]yx = - 18 \times 6 = \boxed{- 108}[/tex]

Equation is:

  • [tex] \boxed{y = {\frac{ - 108}{ \: x}}}[/tex]

When x = 5 then,

  • [tex]\huge{y = \frac{ - 108}{ \: 5}} [/tex]
  • [tex] \huge\boxed{y = - 21.6}[/tex]

______

#LetsStudy

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.